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1940666688 = 26341719261
BaseRepresentation
bin111001110101100…
…0011100101000000
312000020201002020000
41303223003211000
512433302313223
6520323120000
766043252242
oct16353034500
95006632200
101940666688
11906501674
12461b13000
1324c0a19ac
14145a52092
15b5592543
hex73ac3940

1940666688 has 420 divisors, whose sum is σ = 6533986932. Its totient is φ = 567336960.

The previous prime is 1940666677. The next prime is 1940666701. The reversal of 1940666688 is 8866660491.

It can be written as a sum of positive squares in 2 ways, for example, as 675584064 + 1265082624 = 25992^2 + 35568^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31814178 + ... + 31814238.

Almost surely, 21940666688 is an apocalyptic number.

1940666688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1940666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266993466).

1940666688 is an abundant number, since it is smaller than the sum of its proper divisors (4593320244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1940666688 is a wasteful number, since it uses less digits than its factorization.

1940666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 1940666688 is about 44052.9986266542. The cubic root of 1940666688 is about 1247.3365556555.

The spelling of 1940666688 in words is "one billion, nine hundred forty million, six hundred sixty-six thousand, six hundred eighty-eight".